Coisotropic branes in symplectic manifolds

A brane in a symplectic manifold is a coisotropic submanifold $Y$ endowed with a compatible closed 2-form $F$, which together induce a transverse complex structure.

For a specific class of branes we give an explicit description of branes nearby a given one, and for arbitrary branes we describe the infinitesimal deformations and provide an associated cochain complex.

As an application, we determine to what extent coisotropic submanifolds near a given brane admit brane structures.